Search a number
-
+
33150554432 = 266173293397
BaseRepresentation
bin11110110111111011…
…010101000101000000
310011120022121122120022
4132313323111011000
51020343020220212
623121255233012
72252334030512
oct366773250500
9104508548508
1033150554432
1113071695226
126512078768
1331840109a8
141866a41bb2
15ce050b772
hex7b7ed5140

33150554432 has 112 divisors (see below), whose sum is σ = 68180084112. Its totient is φ = 15984967680.

The previous prime is 33150554417. The next prime is 33150554441. The reversal of 33150554432 is 23445505133.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 293916736 + 32856637696 = 17144^2 + 181264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33150554392 and 33150554401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83502458 + ... + 83502854.

It is an arithmetic number, because the mean of its divisors is an integer number (608750751).

Almost surely, 233150554432 is an apocalyptic number.

33150554432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33150554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34090042056).

33150554432 is an abundant number, since it is smaller than the sum of its proper divisors (35029529680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33150554432 is a wasteful number, since it uses less digits than its factorization.

33150554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 33150554432 in words is "thirty-three billion, one hundred fifty million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 64 73 122 146 244 292 293 397 488 584 586 794 976 1168 1172 1588 1952 2336 2344 3176 3904 4453 4672 4688 6352 8906 9376 12704 17812 17873 18752 21389 24217 25408 28981 35624 35746 42778 48434 57962 71248 71492 85556 96868 115924 116321 142496 142984 171112 193736 231848 232642 284992 285968 342224 387472 463696 465284 571936 684448 774944 927392 930568 1143872 1304729 1368896 1549888 1767841 1854784 1861136 2609458 3535682 3722272 5218916 7071364 7095581 7444544 8491433 10437832 14142728 14191162 16982866 20875664 28285456 28382324 33965732 41751328 56570912 56764648 67931464 83502656 113141824 113529296 135862928 227058592 271725856 454117184 517977413 543451712 1035954826 2071909652 4143819304 8287638608 16575277216 33150554432